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NCERT EXEMPLAR-MATRICES-Matrices
- If A=[{:(1,2),(4,1):}] , then find A^(2)+2A+7I.
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- If A=[{:(cos alpha,sin alpha),(-sin alpha, cos alpha):}] and A^(-1)=A'...
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- If matrix [{:(0,a,3),(2,b,-1),(c,1,0):}] is skew-symmetric matrix, the...
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- If P(x)=[(cosx, sinx),(-sinx, cosx)], then show that P(x).P(y)=P(x+y)=...
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- If A is square matrix such that A^(2)=A, then show that (I+A)^(3)=7A+I...
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- If A, B are square matrices of same order and B is skew-symmetric mat...
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- Let A ,B be two matrices such that they commute. Show that for any pos...
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- z, if A='[{:(0,2y,z),(x,y,-z),(x,-y,z):}] satisfy A'=A^(-1)
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- If possible using elementary row transformations, find the inverse of ...
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- Express the matrix [{:(2 ,1),(3,4):}] as the sum of a symmetric and a ...
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- The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):}] is a
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- Total number of possible matrices of order 3xx3 with each entry 2 or 0...
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- [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of x,...
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- If A=1/pi[sin^(-1)(pix)tan^(-1)(x/pi)sin^(-1)(x/pi)cot^(-1)(pix)] and ...
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- If A and B are two matrices of the order 3 xx m and 3 xx n, respective...
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- If A=[{:(0,1),(1,0):}] then A^(2) is equal to
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- If matrix A=[a(ij)](2X2), where a(ij)={[1,i!=j],[0,i=j]}, then A^2 i...
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- The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a
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- The matrix [{:(0,-5,8),(5,0,12),(-8,-12,0):}] is a
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- If A is matrix of order mxxn and B is a matrix such that AB' and B'A ...
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